[go: up one dir, main page]

Search a number
-
+
55505574 = 235196011
BaseRepresentation
bin1101001110111…
…1001010100110
310212102222100000
43103233022212
5103202134244
65301402130
71242534555
oct323571246
9125388300
1055505574
1129371183
1216709346
13b665347
14752bd9c
154d16169
hex34ef2a6

55505574 has 48 divisors (see below), whose sum is σ = 131302080. Its totient is φ = 17525160.

The previous prime is 55505557. The next prime is 55505581. The reversal of 55505574 is 47550555.

It is a happy number.

55505574 is a `hidden beast` number, since 55 + 50 + 557 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6229 + ... + 12239.

It is an arithmetic number, because the mean of its divisors is an integer number (2735460).

Almost surely, 255505574 is an apocalyptic number.

55505574 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651040).

55505574 is an abundant number, since it is smaller than the sum of its proper divisors (75796506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55505574 is a wasteful number, since it uses less digits than its factorization.

55505574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 36.

The square root of 55505574 is about 7450.2063058683. The cubic root of 55505574 is about 381.4569506542.

The spelling of 55505574 in words is "fifty-five million, five hundred five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 6011 9234 12022 18033 36066 54099 108198 114209 162297 228418 324594 342627 486891 685254 973782 1027881 1460673 2055762 2921346 3083643 6167286 9250929 18501858 27752787 55505574